25677 has 10 divisors (see below), whose sum is σ = 38478. Its totient is φ = 17064.

The previous prime is 25673. The next prime is 25679. The reversal of 25677 is 77652.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 9801 = 126^2 + 99^2 .

It is not a de Polignac number, because 25677 - 2² = 25673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹¹ + 5⁵ + 6⁴ + 7⁴ + 7⁵ .

25677 is a lucky number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 25677.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25677.

It is not an unprimeable number, because it can be changed into a prime (25673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78 + ... + 239.

2²⁵⁶⁷⁷ is an apocalyptic number.

25677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

25677 is a deficient number, since it is larger than the sum of its proper divisors (12801).

25677 is an equidigital number, since it uses as much as digits as its factorization.

25677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 25677 is about 160.2404443329. The cubic root of 25677 is about 29.5017714152.

It can be divided in two parts, 256 and 77, that added together give a palindrome (333).

The spelling of 25677 in words is "twenty-five thousand, six hundred seventy-seven".